GCD of 918, 107, 438, 564 Calculator

Given Input numbers are 918, 107, 438, 564

In the factoring method, we have to find the divisors of all numbers

Divisors of 918 :

The positive integer divisors of 918 that completely divides 918 are.

1, 2, 3, 6, 9, 17, 18, 27, 34, 51, 54, 102, 153, 306, 459, 918

Divisors of 107 :

The positive integer divisors of 107 that completely divides 107 are.

1, 107

Divisors of 438 :

The positive integer divisors of 438 that completely divides 438 are.

1, 2, 3, 6, 73, 146, 219, 438

Divisors of 564 :

The positive integer divisors of 564 that completely divides 564 are.

1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564

GCD of numbers is the greatest common divisor

So, the GCD (918, 107, 438, 564) = 1.

Given numbers are 918, 107, 438, 564

The list of prime factors of all numbers are

Prime factors of 918 are 2 x 3 x 3 x 3 x 17

Prime factors of 107 are 107

Prime factors of 438 are 2 x 3 x 73

Prime factors of 564 are 2 x 2 x 3 x 47

The above numbers do not have any common prime factor. So GCD is 1

Given numbers are 918, 107, 438, 564

GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)

Apply this formula for all numbers.

Step1:

LCM(918, 107) = 98226

GCD(918, 107) = ( 918 x 107 ) / 98226

= 918 / 107

= 918

Step2:

LCM(1, 438) = 438

GCD(1, 438) = ( 1 x 438 ) / 438

= 1 / 438

= 1

Step3:

LCM(1, 564) = 564

GCD(1, 564) = ( 1 x 564 ) / 564

= 1 / 564

= 1

So, Greatest Common Divisor of 918, 107, 438, 564 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 198, 893, 353, 718
• GCD of 372, 975, 143, 320
• GCD of 870, 522, 153, 438
• GCD of 738, 464, 781, 252
• GCD of 351, 212, 735, 565

Given numbers are 918, 107, 438, 564
The greatest common divisor of numbers 918, 107, 438, 564 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 918, 107, 438, 564 is 1.

1. What is the GCD of 918, 107, 438, 564?

GCD of given numbers 918, 107, 438, 564 is 1

2. How to calculate the greatest common divisor of 918, 107, 438, 564?

We can find the highest common divisor of 918, 107, 438, 564 easily using the prime factorization method. Just list the prime factors of all numbers and pick the highest common factor which is the GCD of 918, 107, 438, 564 i.e 1.

3. How can I use the GCD of 918, 107, 438, 564Calculator?

Out the numbers 918, 107, 438, 564 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.